Finite element error analysis of a variational multiscale method for the Navier-Stokes equations

Volker J., KAYA MERDAN S.

ADVANCES IN COMPUTATIONAL MATHEMATICS, vol.28, no.1, pp.43-61, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1007/s10444-005-9010-z
  • Journal Name: ADVANCES IN COMPUTATIONAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.43-61
  • Keywords: variational multiscale method, finite element method, error analysis, incompressible Navier-Stokes equations, APPROXIMATION
  • Middle East Technical University Affiliated: Yes

Abstract

The paper presents finite element error estimates of a variational multiscale method (VMS) for the incompressible Navier-Stokes equations. The constants in these estimates do not depend on the Reynolds number but on a reduced Reynolds number or on the mesh size of a coarse mesh.